Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with eigenvalues
Search options answers only
not deleted
user 14094
eigenvalues of matrices or operators
5
votes
Eigenvalues of positive matrices in $\mathrm{SL}(d,\mathbb{Z})$
3 (found by checking all $3\times 3$ matrices with entries in $\{1,2,3\}$): the matrix $\begin{pmatrix}1&1&1\\2&1&2\\2&3&1\end{pmatrix}$, with characteristic polynomial $x^3 - 3x^2 - 7x - 1$ has the eigenvalues … $$4.577...,\; -1.424...,\; -0.153...$$
Another one has only positive eigenvalues:
$\begin{pmatrix}3&1&1\\1&2&1\\2&1&1\end{pmatrix}$, with characteristic polynomial $x^3 - 6x^2 + 7x - 1$ with the eigenvalues …
- 63.9k
7
votes
Accepted
Finite group is Dedekind iff for every irrep, every element acts as identity or has all eige...
The condition can be restated as: for every $g$ and $\rho$, the subspace $\mathrm{Ker}(\rho(g)-1)$ is a subrepresentation.
If $G$ is Dedekind (meaning that every subgroup is normal, or equivalently th …
- 63.9k